Mathematics of Gravitation: Lorentzian geometry and Einstein equations PDF Download
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Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 252
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Book Description
Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 256
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Jose Natario
Publisher: Springer Science & Business Media
ISBN: 3642214525
Category : Science
Languages : en
Pages : 133
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Book Description
“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.
Author: David E. Rowe
Publisher: Birkhäuser
ISBN: 1493977083
Category : Mathematics
Languages : en
Pages : 492
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Book Description
Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.
Author: Piotr T. Chrusciel
Publisher: Birkhäuser
ISBN: 3034879539
Category : Science
Languages : en
Pages : 487
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Book Description
The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.
Author: Sergio Cacciatori
Publisher: Springer Nature
ISBN: 3030180611
Category : Science
Languages : en
Pages : 359
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Book Description
This book is based on lectures given at the first edition of the Domoschool, the International Alpine School in Mathematics and Physics, held in Domodossola, Italy, in July 2018. It is divided into two parts. Part I consists of four sets of lecture notes. These are extended versions of lectures given at the Domoschool, written by well-known experts in mathematics and physics related to General Relativity. Part II collects talks by selected participants, focusing on research related to General Relativity.
Author: Theodore Frankel
Publisher: Courier Corporation
ISBN: 048628915X
Category : Science
Languages : en
Pages : 194
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Book Description
This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence and stresses the global aspects of cosmology. Suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. 1979 edition.
Author: Wladimir-Georges Boskoff
Publisher: Springer Nature
ISBN: 3030478947
Category : Science
Languages : en
Pages : 412
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Book Description
This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to understand all other geometries and it is the cornerstone for our basic intuition of vector spaces. The generalization to non-Euclidean geometry is the following step to develop the language of Special and General Relativity. These theories are discussed starting from a full geometric point of view. Differential geometry is presented in the simplest way and it is applied to describe the physical world. The final result of this construction is deriving the Einstein field equations for gravitation and spacetime dynamics. Possible solutions, and their physical implications are also discussed: the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, the cosmological solutions like de Sitter, Friedmann-Lemaître-Robertson-Walker, and Gödel ones. Some current problems like dark energy are also scketched. The book is self-contained and includes details of all proofs. It provides solutions or tips to solve problems and exercises. It is designed for undergraduate students and for all readers who want a first geometric approach to Special and General Relativity.
Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 250
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Book Description
Author: Yvonne Choquet-Bruhat
Publisher: Oxford University Press
ISBN: 0199230722
Category : Mathematics
Languages : en
Pages : 812
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Book Description
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
